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Finding the Fourth Proportional to 7,225.79, 9,970.88 and 4,200.14

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Solution

The fourth proportional to 7,225.79, 9,970.88 and 4,200.14 is: 5,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.79 : 9,970.88 = 4,200.14 : x
  2. Step 2: Convert to fraction form
    7,225.79/9,970.88 = 4,200.14/x
  3. Step 3: Cross multiply
    7,225.79x = 9,970.88 × 4,200.14
  4. Step 4: Simplify right side
    7,225.79x = 41,879,063.39
  5. Step 5: Solve for x
    x = 41,879,063.39/7,225.79
  6. Step 6: Final answer
    x = 5,795.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.